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Simplifying 3(x + 3) = 2(0.5x + 7) Reorder the terms: 3(3 + x) = 2(0.5x + 7) (3 * 3 + x * 3) = 2(0.5x + 7) (9 + 3x) = 2(0.5x + 7) Reorder the terms: 9 + 3x = 2(7 + 0.5x) 9 + 3x = (7 * 2 + 0.5x * 2) 9 + 3x = (14 + 1x) Solving 9 + 3x = 14 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 3x + -1x = 14 + 1x + -1x Combine like terms: 3x + -1x = 2x 9 + 2x = 14 + 1x + -1x Combine like terms: 1x + -1x = 0 9 + 2x = 14 + 0 9 + 2x = 14 Add '-9' to each side of the equation. 9 + -9 + 2x = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 14 + -9 2x = 14 + -9 Combine like terms: 14 + -9 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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